# What is the end behavior of f(x)=-6x^3+10x?

Nov 24, 2017

See below.

#### Explanation:

For end behaviour of polynomials, we only need to be concerned with the leading coefficient, the degree and what happens as $x \to \pm \infty$.

$- 6 {x}^{3}$
as $x \to \infty$ , $\textcolor{w h i t e}{88} - 6 {x}^{3} \to - \infty$
as $x \to - \infty$ , $\textcolor{w h i t e}{88} - 6 {x}^{3} \to \infty$